Stability of a solution of the form of a solitary wave for a nonlinear complex modified Korteweg-de Vries equation
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Publication:1078767
DOI10.1007/BF00969101zbMath0597.35103MaRDI QIDQ1078767
E. P. Zhidkov, Iliya D. Iliev, Kiril P. Kirchev
Publication date: 1985
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Cauchy problemorbital stabilityinverse problem methodcomplex Korteweg-de Vries equationsolitary wave type solution
Stability in context of PDEs (35B35) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (10)
Hybrid structures of localized waves for the coupled extended mKdV equation ⋮ Soliton solution and gauge equivalence for an integrable nonlocal complex modified Korteweg-de Vries equation ⋮ Rational soliton solutions in the nonlocal coupled complex modified Korteweg-de Vries equations ⋮ The complex MKDV equation with step-like initial data: Large time asymptotic analysis ⋮ The bound-state soliton solutions of the complex modified KdV equation ⋮ Abundant exact solutions to the discrete complex mKdV equation by Darboux transformation ⋮ Structure and stability of quasiparallel small-amplitude magnetohydrodynamic shocks ⋮ Stability of periodic traveling waves for complex modified Korteweg-de Vries equation ⋮ Explicit solutions to a nonlocal 2-component complex modified Korteweg-de Vries equation ⋮ The orbital stability of the periodic traveling wave solutions to the defocusing complex modified Korteweg-de Vries equation
Cites Work
- On the Korteweg-de Vries equation
- Stability theory for solitary-wave solutions of scalar field equations
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- On the stability theory of solitary waves
- A numerical and theoretical study of certain nonlinear wave phenomena
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
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